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Finding the Fourth Proportional to 306,415.74, 459,626.86 and 93,218.38

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Solution

The fourth proportional to 306,415.74, 459,626.86 and 93,218.38 is: 139,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,415.74 : 459,626.86 = 93,218.38 : x
  2. Step 2: Convert to fraction form
    306,415.74/459,626.86 = 93,218.38/x
  3. Step 3: Cross multiply
    306,415.74x = 459,626.86 × 93,218.38
  4. Step 4: Simplify right side
    306,415.74x = 42,845,669,736.79
  5. Step 5: Solve for x
    x = 42,845,669,736.79/306,415.74
  6. Step 6: Final answer
    x = 139,828.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.